Answers
Using the binomial distribution, we have that:
a) The distribution is given by:
P(X = 0) = 0.0625.P(X = 1) = 0.25.P(X = 2) = 0.375.P(X = 3) = 0.25.P(X = 4) = 0.0625.b) 0.3125 = 31.25%.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
There are 4 children, hence n = 4.Each children has a 50% chance of being female, hence p = 0.5.The distribution is given by the probability of each outcome, hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625[/tex]
[tex]P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25[/tex]
[tex]P(X = 2) = C_{4,2}.(0.5)^{2}.(0.5)^{2} = 0.375[/tex]
[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]
[tex]P(X = 4) = C_{4,4}.(0.5)^{4}.(0.5)^{0} = 0.0625[/tex]
The probability of at least 3 daughters is given by:
[tex]P(X \geq 3) = P(X = 3) + P(X = 4) = 0.25 + 0.0625 = 0.3125[/tex].
More can be learned about the binomial distribution at https://brainly.com/question/24863377
#SPJ1
Related Questions
Write an equation of the graph
A. y = 1/2x + 5
B. y - 3 = 1/2 (x + 1)
C. y + 3 = -1/2 (x - 1)
D. y - 3 = -1/2 (x + 1)
Answers
Answer:
It's A
Step-by-step explanation:
y/x
it's starting point is 5 and it goes up 1 and over 2
1 is on the y-axis and 2 is on the x-axis and it is y over x so the answer is 1/2x+5
NOTE:I MAY NOT BE ACCURATE BUT IM PROBABLY IT COULD BE WRONG BUT IF U REALLY ARE STUCK ON A QUESTION THEN CHOOSE A
AB has endpoints A(4,-3) and B(3,7). Line d is the perpendicular bisector of AB. Which of the following is NOT an equation of line d?
Answers
Answer:
B
Step-by-step explanation:
We know that AB has endpoints at A(4, -3) and B(3, 7).
To find Line D, which is the perpendicular bisector of AB, we first need to find the slope of AB and its midpoint.
So, let's find the slope of AB using the slope formula:
Let (4, -3) be (x₁, y₁) and let (3, 7) be (x₂, y₂). Substitute them into the slope formula:
So, the slope of AB is -10.
Remember that the slopes of perpendicular lines are negative reciprocals of each other.
Therefore, the slope of our Line D is the negative reciprocal of -10. Which is -10 flipped and multiplied by a negative.
So, Line D has a slope of 1/10.
Now, since Line D is also the perpendicular bisector of AB, we need to find the midpoint of AB since Line D must pass through this point.
To find the midpoint, we can use the midpoint formula:
We can again let (4, -3) be (x₁, y₁) and let (3, 7) be (x₂, y₂). Substitute them into the midpoint formula to obtain:
Evaluate. So, the midpoint is:
Now, we can find the equation of our Line D. We know that its slope is 1/10, and that it must pass through (3.5, 2). So, we can use the point-slope form:
Where m is the slope. Let's let (3.5, 2) be (x₁, y₁) and substitute 1/10 for m. This yields:
This is the same as choice C. So, choice C is indeed an equation of Line D.
We can distribute the right to obtain:
Add 2 to both sides to acquire:
This is the same as choice D. So, choice D is indeed an equation of Line D.
Moreover, we can put this into standard form by multiply everything by 10, which gives:
Subtracting x from both sides yields:
This is the same as A. So, choice A is also an equation of Line D.
There is no way to acquire choice B. So, B is not an equation of Line D.
Therefore, our answer is B.
And we're done!
Find the volume of the composite solid. Round your answer to the nearest hundredth.
3 cm
3 cm
10 cm
The volume is about cubic centimeters.
Answers
Answer: see my work
Step-by-step explanation:
volume is lwh
volume is 3*3*10
volume is 9*10
volume is cubic cm
volume is 90
volume is 90 cubic cm
Answer:
90cm^2
Step-by-step explanation:
3x3=9
9x10=90
Solve the following...
[tex]1 \cfrac{1}{5} \times 2\cfrac{1}{3} [/tex]
Answers
Let's see
[tex]\\ \rm\Rrightarrow 1\dfrac{1}{5}\times2\dfrac{1}{3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{6}{5}\times \dfrac{7}{3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{6(7)}{5(3)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{42}{15}[/tex]
[tex]\\ \rm\Rrightarrow2 \dfrac{12}{15}[/tex]
John paid $34 for two algebra and three geometry books. he paid $36 for three algebra and two geometry
Answers
Answer:
Each geometry book costs $6, each algebra book costs $8.
Let a=cost of one algebra book and g=cost of one geometry book. We have:
2a + 3g = 34-------->6a + 9g = 102
3a + 2g = 36-------->6a + 4g = 72
-------------------
5g = 30
g = 6
2a + 3(6) = 34
2a + 18 = 34
2a = 16--->a = 8
Question: John paid $34 for two algebra and three geometry books. He paid $36 for three algebra and two geometry books. What is the cost of each book?
Answer: The cost of each algebra book is $8 and the cost of each geometry book is $6.
Step-by-step explanation:
a= algebra book cost
g= geometry book cost
Here's what we know:
2a + 3g = 34 (the 2 alg and 3 geo comes to $34)
3a + 2g = 36 (the 3 alg and 2 geo comes to $36)
This is a classic elimination method problem. I suggest that we multiply the first equation by -2 and the second by 3. This way, we can eliminate the variable g and still keep the other parts of the problem in the positive range:
-4a - 6g = -68
9a + 6g = 108
-------------------
5a = 40
Divide by 5:
a = 8
Now to solve for g:
2 * 8 + 3g = 34
16 + 3g = 34
3g = 18
g = 6
check (by using the second equation):
3 * 8 + 2 * 6 = 36
24 + 12 = 36
A student studies the effect of sunlight on the growth of a tree sapling. At the beginning of the student’s study, the tree sapling is
48
inches tall. The student finds that the tree sapling grows an average of
3
inches per month.
Which expression represents the height of the tree sapling after
x
months?
pls hurry, i need help asap
Answers
Reason:
The tree is already 48 inches tall. We add on 3x to represent the idea the tree is growing 3 inches per month. Therefore, the total height is 48+3x or 3x+48 inches.
Let's say x = 5 months have elapsed as an example.
The tree would have grown 3*x = 3*5 = 15 inches to get 48+15 = 63 inches tall. In other words, y = 3x+48 will have y = 63 when x = 5.
What is the best estimate for the length of a dollar bill?
150 centimeters
15 meters
15 centimeters
150 meters
Answers
Answer:
15cm
Step-by-step explanation:
150 meters are too long since 1 meter is about one big step.
15 meters would also be too long.
150 centimeters is the same as 1.5 meters, which is also too long.
Solve for the value of x -
[tex]5(4x-4)=-60[/tex]
Thanks! ^^
Answers
Answer:
x = -2
Step-by-step explanation:
[tex]20x - 20 = -60\\20x = -40\\x = -2[/tex]
hope this helped!!
Answer:
x = -2
Step-by-step explanation:
Divide both sides by 5 :
5/5 (4x - 4) = -60/54x - 4 = -12Add 4 to both sides :
4x - 4 + 4 = -12 + 44x = -8Divide both sides by 4 :
4x/4 = -8/4x = -2Give a full description of how you solve it and I'll give the brainiest. Solve both, please.
Answers
#2) let’s start off with the numbers. multiply 10•7•8 to get 560. then we will add all the U powers so that would be 7+9 = 16 making it u^16. lastly we should add all the v powers so it would 3+8+4 = 15 so ur final answer would be 560u^16v^15.
I'll give brainiest to whoever answers both of these correctly
The two-way table shows the results of a survey where students were asked if they were currently in elementary or middle school and if they owned a smartphone.
1)Of the people surveyed, what is the relative frequency of those who own a smartphone? (round to the nearest percent)
2) Of the elementary school students, what is the relative frequency of those who own a smartphone? (round to the nearest percent)
Answers
Answer:
1) 45%
2) 24%
Step-by-step explanation:
1) Total number of people surveyed = 26 + 84 + 72 + 34 = 216
number of people who own a smartphone = 26 + 72 = 98
∴ relative frequency = [tex]\frac{98}{216}[/tex] ˣ 100 = 45%
2) Total number of elementary school students = 26 + 84 = 110
∴ relative frequency = [tex]\frac{26}{110}[/tex] ˣ 100 = 24%
Hope this helps!
It took the computer 120 days to break the code. How many
hours did it take?
Answers
Hi Student!
Looking at the question we can see that we are given a number which is 120 days. The question is asking for us to convert the amount of days it took to break the code into hours. We can do this by multiplying the amount of days that we have by 24 because there are 24 hours in a day. The days would cancel and that would result us with just hours left.
[tex]120\ days*\frac{24\ hours}{1\ day}[/tex]
[tex]\frac{120\ days\ *\ 24\ hours}{1\ day}[/tex]
[tex]\frac{2880\ hours}{1}[/tex]
[tex]2880\ hours[/tex]
Therefore, our final answer is that it took the computer 2880 hours to break the code after we converted the days to hours.
find the value of n.
8 × 2^3n = 2^12
6th grade math help me
Answers
8=2^3
2^3*2^3n=2^12
2^3+3n=2^12
3+3n=12
3n=12-3
3n=9
n=9/3
n=3
find the value of n.
8 × 2^3n = 2^12
Answer :-n = 3
Solution :-[tex]\sf\ given \:: \: 8 \times 2 ^{3n} [/tex]
[tex]\sf\rightarrow 8 \times 2 ^{3n} \: = {2}^{12} [/tex]
[tex]\sf\rightarrow {2}^{3n} = {2}^{12} \: \: (8 = {2}^{3} )[/tex]
[tex] \sf\rightarrow {2}^{3n + 3} = {2}^{12} \: \: \: ( {a}^{m} \times {a}^{n} = {a}^{m + n} )[/tex]
Equating powers since bases are same.
[tex]\sf\rightarrow 3n \: + 3 = 12[/tex]
[tex]\sf\rightarrow 3n \: + 3 - 3 = 12 - 3[/tex]
[tex]\sf\rightarrow 3n = 9[/tex]
Divide both sides by 3.
[tex]\sf\rightarrow n = 3[/tex]
Thus the value of n is 3 .
Which solution set is graft on the number line
Answers
Answer:
x < 1
Step-by-step explanation:
an open circle means it contains no equal signs.....everything to the left is shaded....means it is less then
x < 1 (thats a less then sign only) ....no equal sign in there
Answer:
x < 1
Step-by-step explanation:
Open circle: < or >
Closed circle: ≤ or ≥
Shading to the left: < or ≤
Shading to the right: > or ≥
Therefore, as there is an open circle and shading to the left:
x < 1
(x is smaller than 1)
can someone help me with this problem? Thank you!
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Since, the Area of smaller rectangle is 35,
width = 5 ftLet's calculate it's length ~
[tex]\qquad \sf \dashrightarrow \:a = l \cdot w[/tex]
[tex]\qquad \sf \dashrightarrow \:35 = l \cdot5[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 35 \div 5[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 7 \: ft[/tex]
And the two rectangles are similar ~ so the ratio of their sides are equal as well ~
Assume length of greater rectangle be x
[tex]\qquad \sf \dashrightarrow \: \dfrac{25}{5} = \dfrac{x}{7} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 5 \times 7[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 35[/tex]
Now, since the length and width of the greater rectangle is known, let's find it's Area ~
[tex]\qquad \sf \dashrightarrow \:a = l \cdot w[/tex]
[tex]\qquad \sf \dashrightarrow \:a = 35 \sdot25[/tex]
[tex]\qquad \sf \dashrightarrow \:a = 875 \: \: ft {}^{2} [/tex]
So, Area of the greater rectangle is 875 ft²
The picture is the question
Answers
Answer:
exponential
Step-by-step explanation:
The function follows the rule :
y = 3ˣAs y varies directly to the power of the exponent, this function is exponentialLet's check
Common ratio
3/1=39/3=3Its a geometric sequence
Hence exponential
if there are 20 balloons and 5 pop how many are left
Answers
Explanation: 20 Balloons, you take 5 away and that’s 15. But now you are sad because some balloons popped…
Graph the inequality.
-1
Answers
Answer:
Step-by-step explanation:
-please help im so dum dum and id like therapy < <<<<<<<<33333333 TYY
-20 -8 + (-12)
Answers
Answer:
Step-by-step explanation:
-40
−20−8-12
−28−12
-40
I need help with this math question please!
Answers
Answer:
x < 0
( x is less than 0 )
Explaination:
That open circle point means the answer will not be equal to, which would be options including <(less than) or >(greater than).
If the circle was closed you would use these symbols, ≤(less than or equal to) and ≥(greater than or equal to)
The open circle lands on 0 and the arrow points to the left into the negative numbers. The answer should be x<0 or x is less than 0.
A way to help remember less than vs greater than on a line like this is that the arrow points in the same direction as the symbol! For example, your question shows an arrow going to the left, and the symbol used for it is less than (<) which also looks like a left pointing arrow.
Hope this helps out! :D
pls help asap The scatter diagram shows the grades and number of missing assignments for students in a grade 8 math class
Answers
Answer A
Amaya travels from her home to Stoke
the distance from her home to stoke is 150 miles she travels at an average speed of 50 miles per hour
she stops for 20 minutes on the journey
amaya arrives in stoke at 11:15am
what time did she leave home?
Answers
Answer:
She left at 7:55
Step-by-step explanation:
She travels 150 miles at 50 miles an hour, it takes her 3 hours to get to stoke but she stopped for 20 minutes. Subtract 20 minutes from 11:15, and you get 10:55, then subtract 3 hours. You get 7:55. This means she left the house at 7:55.
Cathy constructs diameter of circle O and then constructs the perpendicular bisector, , of. Which construction can she complete?
A.
an equilateral triangle inscribed in a circle
B.
a regular hexagon inscribed in a circle
C.
a square inscribed in a circle
D.
an isosceles trapezoid inscribed in a circle
Answers
Answer:
Step-by-step explanation:
Lance rides his bike at an average speed of 32 mph.
If he has 3072 miles to ride, how many hours will it take him?
How many days is that?
Answers
Answer:
96 days. Divide 3072 by 32 and you get 96.
Which chip design has a greater probability of selection than what the actual results show after the 10 draws?
stripe
dot
star
heart
Answers
Answer:
the stripe chip design has
the greatest probability of selection
Step-by-step explanation:
p(draw a dot chip) = 1/10
p(draw a star chip) = 2/10
p(draw a heart chip) = 3/10
p(draw a stripe chip) = 4/10
4/10 > 3/10 > 2/10 > 1/10
Therefore , the stripe chip design has
the greatest probability of selection.
1. Find the vertex, (x, y) x-value is the number inside the brackets, but take the opposite of its; y-value number outside at the back of the bracket: (4,8)
Answers
Answer:
9y(c=7) witch means the answer is 8,6
Step-by-step explanation:
I took it and got 5 out of 5 right ✅
The difference of two numbers is 18. The sum of the two numbers is 62. Let x be the greater number, and let y be the lesser number.
Please help ASAP
Answers
Answer:
x=40,y=22
Step-by-step explanation:
62/2=31
31+9=40
31-9=22
40+22=62
can I get help please
Answers
Answer:
s=55°
Step-by-step explanation:
sum of angles of the inside pentagon is 540°
2s+2s+1s+130°+135° =540°
5s+265°=540°
5s=540°-265°
5s=275°
5s/5=275°/5
s=55°
Giving Brainliest!
Select the statement that describes the expression 12 x (6 ÷ 2 x one fourth).
12 times one fourth the quotient of 6 and 2
12 times one fourth the sum of 6 and 2
12 times one fourth the product of 6 and 2
12 times one fourth the difference of 6 and 2
USING G O OGLE OR COPYING/REWORDING SOMEONES ANSWER = REPORT
Answers
Find the volume of each figure. Round you
137cm
5 cm
B) 350 cm³
D) 116.67 cm³
10 cm
A) 88.74 cm³
C) 148.29 cm³
Please help ASAP!!
Answers
Answer:
e
Step-by-step explanation:
e
FIND BA Just Need the answer tbh
Answers
Step-by-step explanation:
some might be wrong..if u can..try to cross check it..